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Finding the Fourth Proportional to 137.10, 205.74 and 101.12

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Solution

The fourth proportional to 137.10, 205.74 and 101.12 is: 151.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.10 : 205.74 = 101.12 : x
  2. Step 2: Convert to fraction form
    137.10/205.74 = 101.12/x
  3. Step 3: Cross multiply
    137.10x = 205.74 × 101.12
  4. Step 4: Simplify right side
    137.10x = 20,804.43
  5. Step 5: Solve for x
    x = 20,804.43/137.10
  6. Step 6: Final answer
    x = 151.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.